Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050cl |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-1.0334828964564E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,296387,141679217] |
[a1,a2,a3,a4,a6] |
Generators |
[698:25895:1] |
Generators of the group modulo torsion |
j |
184281206604333047/661429053732096 |
j-invariant |
L |
10.010253915844 |
L(r)(E,1)/r! |
Ω |
0.16230965210605 |
Real period |
R |
0.36710598515875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150ca1 1482b1 |
Quadratic twists by: -3 5 |